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Finding the Fourth Proportional to 570,297,492,092.30, 855,446,238,138.45 and 570,297,492,092.30

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Solution

The fourth proportional to 570,297,492,092.30, 855,446,238,138.45 and 570,297,492,092.30 is: 855,446,238,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,297,492,092.30 : 855,446,238,138.45 = 570,297,492,092.30 : x
  2. Step 2: Convert to fraction form
    570,297,492,092.30/855,446,238,138.45 = 570,297,492,092.30/x
  3. Step 3: Cross multiply
    570,297,492,092.30x = 855,446,238,138.45 × 570,297,492,092.30
  4. Step 4: Simplify right side
    570,297,492,092.30x = 487,858,844,230,150,487,277,568
  5. Step 5: Solve for x
    x = 487,858,844,230,150,487,277,568/570,297,492,092.30
  6. Step 6: Final answer
    x = 855,446,238,138.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.